Which of the following correctly gives the best coofficients for the reaction below? $$ \mathrm{N}_{2} \mathrm{H}_{4}+\mathrm{H}_{2} \mathrm{O}_{2} ightarrow \mathrm{~N}_{2}+\mathrm{H}_{2} \mathrm{O} $$ $$ 1,1,1,1 $$ 1,2,1,4 $$ \begin{array}{l}2,4,2,4 \ 2,4,2,8 \ 1,4,1,4 \ ext { Submit Request Answer }\end{array} $$ S

Question

Which of the following correctly gives the best coofficients for the reaction below? $$ \mathrm{N}_{2} \mathrm{H}_{4}+\mathrm{H}_{2} \mathrm{O}_{2} ightarrow \mathrm{~N}_{2}+\mathrm{H}_{2} \mathrm{O} $$ $$ 1,1,1,1 $$ 1,2,1,4 $$ \begin{array}{l}2,4,2,4 \ 2,4,2,8 \ 1,4,1,4 \ 	ext { Submit Request Answer }\end{array} $$ S

UpStudy AI · Accepted Answer

To determine the best coefficients for balancing the reaction:

$$
\mathrm{N}_{2}\mathrm{H}_{4} + \mathrm{H}_{2}\mathrm{O}_{2} \rightarrow \mathrm{N}_{2} + \mathrm{H}_{2}\mathrm{O}
$$

Let's evaluate each option:

1. **Option 1: 1,1,1,1**
   $$
   \mathrm{N}_{2}\mathrm{H}_{4} + \mathrm{H}_{2}\mathrm{O}_{2} \rightarrow \mathrm{N}_{2} + \mathrm{H}_{2}\mathrm{O}
   $$
   - **Nitrogen (N):** 2 on both sides – **Balanced**
   - **Hydrogen (H):** 6 on the left (4 from N₂H₄ + 2 from H₂O₂) vs. 2 on the right – **Not Balanced**
   - **Oxygen (O):** 2 on the left vs. 1 on the right – **Not Balanced**

2. **Option 2: 1,2,1,4**
   $$
   \mathrm{N}_{2}\mathrm{H}_{4} + 2\mathrm{H}_{2}\mathrm{O}_{2} \rightarrow \mathrm{N}_{2} + 4\mathrm{H}_{2}\mathrm{O}
   $$
   - **Nitrogen (N):** 2 on both sides – **Balanced**
   - **Hydrogen (H):** 8 on both sides (4 from N₂H₄ + 4 from 2 H₂O₂ vs. 8 from 4 H₂O) – **Balanced**
   - **Oxygen (O):** 4 on both sides – **Balanced**

3. **Option 3: 2,4,2,4**
   $$
   2\mathrm{N}_{2}\mathrm{H}_{4} + 4\mathrm{H}_{2}\mathrm{O}_{2} \rightarrow 2\mathrm{N}_{2} + 4\mathrm{H}_{2}\mathrm{O}
   $$
   - **Hydrogen (H):** 16 on the left vs. 8 on the right – **Not Balanced**

4. **Option 4: 2,4,2,8**
   $$
   2\mathrm{N}_{2}\mathrm{H}_{4} + 4\mathrm{H}_{2}\mathrm{O}_{2} \rightarrow 2\mathrm{N}_{2} + 8\mathrm{H}_{2}\mathrm{O}
   $$
   - **Balanced** but uses larger coefficients compared to Option 2.

5. **Option 5: 1,4,1,4**
   $$
   \mathrm{N}_{2}\mathrm{H}_{4} + 4\mathrm{H}_{2}\mathrm{O}_{2} \rightarrow \mathrm{N}_{2} + 4\mathrm{H}_{2}\mathrm{O}
   $$
   - **Hydrogen (H):** 12 on the left vs. 8 on the right – **Not Balanced**

**Conclusion:**
- **Option 2 (1,2,1,4)** provides the smallest set of integer coefficients that properly balance the equation.

**Balanced Equation:**
$$
\mathrm{N}_{2}\mathrm{H}_{4} + 2\mathrm{H}_{2}\mathrm{O}_{2} \rightarrow \mathrm{N}_{2} + 4\mathrm{H}_{2}\mathrm{O}
$$

**Answer:**  
The best coefficients are **1, 2, 1, 4**.
The best coefficients for the reaction are **1, 2, 1, 4**.

Real Tutor Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Chemistry Questions